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Asymptotic Properties of Solutions to 3-particle Schrödinger Equations

In: New Analytic and Geometric Methods in Inverse Problems

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  • Hiroshi Isozaki

    (Graduate School of Science, Osaka University, Department of Mathematics)

Abstract

We construct a generalized Fourier transformation. F(λ) associated with the 3-body Schrödinger operator H = −△ + ∑ a V a (x a ) and characterize all solutions of (H − λ)u = 0 in the Agmon-Hörmander space B* as the image of. F(λ)*. These stationary solutions admit asymptotic expansions in B* in terms of spherical waves associated with scattering channels.

Suggested Citation

  • Hiroshi Isozaki, 2004. "Asymptotic Properties of Solutions to 3-particle Schrödinger Equations," Springer Books, in: Kenrick Bingham & Yaroslav V. Kurylev & Erkki Somersalo (ed.), New Analytic and Geometric Methods in Inverse Problems, pages 291-307, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-08966-8_9
    DOI: 10.1007/978-3-662-08966-8_9
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